Abstract
We establish a character formula for indecomposable tilting modules for connected reductive groups in characteristicℓ\ellin terms ofℓ\ell-Kazhdan–Lusztig polynomials, forℓ>h\ell > hthe Coxeter number. Using results of Andersen, one may deduce a character formula for simple modules ifℓ≥2h−2\ell \ge 2h-2. Our results are a consequence of an extension to modular coefficients of a monoidal Koszul duality equivalence established by Bezrukavnikov and Yun.
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